A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the fol...

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A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?
(1) You can find two points in the body in a plane perpendicular to the axis of rotation having the same velocity.
(2) You can find two points in the body in a plane perpendicular to the axis of rotation having the same acceleration.
(3) Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is the same.
(4) Angular speed of the body is the same as seen from any point in the body.
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